8
QuizMultiple Choice

Exploring Systems of Linear Equations — Quiz

Question 8 • Mathematics 8

Which ordered pair is a solution to the system of linear equations 1 half x minus 3 fourths y is equal to 11 over 60 and 2 fifths x plus 1 sixth y is equal to 3 tenths ?

Answer
A
open paren 2 thirds comma 1 fifth close paren
B
open paren 1 fifth comma 2 thirds close paren
C
open paren 2 thirds comma negative 1 fifth close paren
D
open paren 1 fifth comma negative 2 thirds close paren

Explanation

Substitute x = 2/3 and y = 1/5 into the first equation: (1/2)(2/3) − (3/4)(1/5) = 1/3 − 3/20 = 11/60. In the second equation, (2/5)(2/3) + (1/6)(1/5) = 4/15 + 1/30 = 3/10. Both equations are true, so the solution is (2/3, 1/5), choice A.

AI-written and checked against the verified answer.

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